A narrow confidence interval indicates what about precision?

A narrow confidence interval indicates what about precision?

• A. Low Precision
• B. Moderate Precision
• C. No Relation to Precision
• D. High Precision

Answer: (D)

Precision is about how tightly we can pin down the unknown value with the data. A confidence interval shows the range where the true value is expected to lie, and its width reflects how much sampling variability there is. A narrow interval means the estimate is determined with little uncertainty, indicating high precision. This happens when you have more information—larger sample size or less variability in the data—so the estimate varies less from sample to sample. Conversely, a wide interval signals low precision because the true value could fall in a broad range. Keep in mind that precision doesn’t guarantee accuracy; you can have a very precise interval that is biased if the method itself is biased, but with the data available, a narrow confidence interval is a sign of high precision.

Precision is about how tightly we can pin down the unknown value with the data. A confidence interval shows the range where the true value is expected to lie, and its width reflects how much sampling variability there is. A narrow interval means the estimate is determined with little uncertainty, indicating high precision. This happens when you have more information—larger sample size or less variability in the data—so the estimate varies less from sample to sample. Conversely, a wide interval signals low precision because the true value could fall in a broad range. Keep in mind that precision doesn’t guarantee accuracy; you can have a very precise interval that is biased if the method itself is biased, but with the data available, a narrow confidence interval is a sign of high precision.